Base | Representation |
---|---|
bin | 1111000011110… |
… | …01011111010000 |
3 | 22210201001201000 |
4 | 13201321133100 |
5 | 224314423421 |
6 | 20311342000 |
7 | 3062521344 |
oct | 741713720 |
9 | 283631630 |
10 | 126326736 |
11 | 65343168 |
12 | 36381900 |
13 | 20230863 |
14 | 12ac5624 |
15 | b155226 |
hex | 78797d0 |
126326736 has 80 divisors (see below), whose sum is σ = 374341120. Its totient is φ = 40746240.
The previous prime is 126326723. The next prime is 126326737. The reversal of 126326736 is 637623621.
126326736 is a `hidden beast` number, since 12 + 632 + 6 + 7 + 3 + 6 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 126326736.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (126326737) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8676 + ... + 18108.
It is an arithmetic number, because the mean of its divisors is an integer number (4679264).
Almost surely, 2126326736 is an apocalyptic number.
126326736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 126326736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187170560).
126326736 is an abundant number, since it is smaller than the sum of its proper divisors (248014384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126326736 is a wasteful number, since it uses less digits than its factorization.
126326736 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9481 (or 9469 counting only the distinct ones).
The product of its digits is 54432, while the sum is 36.
The square root of 126326736 is about 11239.5167155888. The cubic root of 126326736 is about 501.7627593887.
The spelling of 126326736 in words is "one hundred twenty-six million, three hundred twenty-six thousand, seven hundred thirty-six".
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